{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import cv2 as cv\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img=cv.imread('./pic2.png',0)\n",
    "img2=cv.imread('./pic6.png',0)\n",
    "plt.subplot(1,2,1)\n",
    "plt.imshow(img,cmap='gray')\n",
    "plt.subplot(1,2,2)\n",
    "plt.imshow(img2,cmap='gray')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 灰度直方图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# image输入图像，传入时应该用中括号[]括起来\n",
    "# channels:：传入图像的通道，如果是灰度图像，那就不用说了，只有一个通道，值为0，如果是彩色图像（有3个通道），那么值为0,1,2,中选择一个，对应着BGR各个通道。这个值也得用[]传入。\n",
    "# mask：掩膜图像。如果统计整幅图，那么为none。主要是如果要统计部分图的直方图，就得构造相应的炎掩膜来计算。\n",
    "# histSize：灰度级的个数，需要中括号，比如[256]\n",
    "# ranges:像素值的范围，通常[0,256]，有的图像如果不是0-256，比如说你来回各种变换导致像素值负值、很大，则需要调整后才可以\n",
    "# 参考：https://blog.csdn.net/YZXnuaa/article/details/79231817"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "hist_cv = cv.calcHist([img],[0],None,[256],[0,256])\n",
    "hist_cv2= cv.calcHist([img2],[0],None,[256],[0,256])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(1,2,1)\n",
    "plt.title('img')\n",
    "plt.plot(hist_cv)\n",
    "plt.subplot(1,2,2)\n",
    "plt.title('img2')\n",
    "plt.plot(hist_cv2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 大津算法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "ret1, th1 = cv.threshold(img, 0, 255, cv.THRESH_OTSU)  #方法选择为THRESH_OTSU\n",
    "ret2, th2 = cv.threshold(img2, 0, 255, cv.THRESH_OTSU)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(th1, \"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 使用大津算法做阈值二值化时，对于像素亮度渐变的图像分割效果不好"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(th2, \"gray\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 漫水填充法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = cv.imread(\"./pic6.png\")    #载入图像\n",
    "h, w = img.shape[:2]      #获取图像的高和宽 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(cv.cvtColor(img,cv.COLOR_BGR2RGB))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(78983, array([[[  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         ...,\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255]],\n",
       " \n",
       "        [[  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         ...,\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255]],\n",
       " \n",
       "        [[  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         ...,\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255]],\n",
       " \n",
       "        ...,\n",
       " \n",
       "        [[  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         ...,\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255]],\n",
       " \n",
       "        [[  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         ...,\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255]],\n",
       " \n",
       "        [[  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         ...,\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255],\n",
       "         [  0, 255, 255]]], dtype=uint8), array([[1, 1, 1, ..., 1, 1, 1],\n",
       "        [1, 1, 1, ..., 1, 1, 1],\n",
       "        [1, 1, 1, ..., 1, 1, 1],\n",
       "        ...,\n",
       "        [1, 1, 1, ..., 1, 1, 1],\n",
       "        [1, 1, 1, ..., 1, 1, 1],\n",
       "        [1, 1, 1, ..., 1, 1, 1]], dtype=uint8), (0, 0, 400, 300))"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mask = np.zeros((h+2, w+2), np.uint8)  #掩码长和宽都比输入图像多两个像素点，满水填充不会超出掩码的非零边缘 \n",
    "#进行泛洪填充\n",
    "# floodFill( 1.操作的图像, 2.掩模, 3.起始像素值，4.填充的颜色, 5.填充颜色的低值， 6.填充颜色的高值 ,7.填充的方法)\n",
    "# 参数5.填充颜色的低值就是：参数3 减去 参数5\n",
    "# 参数6.填充颜色的高值就是：参数3 加上 参数6\n",
    "# 即是这两个数值之间的色素替换为参数4的颜色\n",
    "# 5和6使用的默认值，填充方法 flags=4\n",
    "cv.floodFill(img, mask, (w-1,h-1),(0, 255, 255),flags=4) # 填充后的图像覆盖了原图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(300, 400, 3)"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(cv.cvtColor(img,cv.COLOR_BGR2RGB))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 总结\n",
    "### 漫水填充法对于渐变的图像分割效果要好于大津算法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
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